The two lines graphed below are parallel. How many solutions are there to the system of equations?

If a system of two linear equations has at least one solution, it is said to be consistent and If a system has no solution, it is said to be inconsistent.

In this problem we have

The graphs of the lines are parallel, so the graphs do not intersect, and there is no solution.

therefore

the system of equations is inconsistent

the answer is the option C

Zero

Answer Link

PallaviB PallaviB · Answer 2 · 2022-06-29T19:27:58+02:00

There are zero solutions to System of equations graphed.

What is System of equations ?

System of equations is a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

We have,

A graph in which two parallel lines are graphed.

So,

We know that,

"If the graphs of the two equations are parallel lines, then there will be no solution, and the system is called an inconsistent system because the two lines will never intersect each other".

i.e.

[tex]\frac{a_{1} }{a_{2}} =\frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}[/tex]

Means lines are parallel and have no solution.

So, The lines graphed have zero solution.

Hence, we can say that there are zero solutions to System of equations graphed.

To know more about System of equations click here

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